--- title: Hypothesis Testing Example - BMS Lung Disease Research - Calculate sample size description: Hypothesis Testing Example - Use nQuery and learn how to calculate sample size and use a power analysis calculator for clinical trials. This example focuses on BMS Lung Disease Research. image: https://www.statsols.com/hubfs/Master_Images/___HeroBannerImages/nQuery%20Sample%20Size%20Software%20Image.png --- Explore the Scientific R&D Platform ![Top Bar background texture](https://flow-cytometry.net/wp-content/uploads/2024/07/nav-bg.png) ![](https://flow-cytometry.net/wp-content/uploads/2024/07/Luma-TM.png) Scientific intelligence platform for AI-powered data management and workflow automation [Explore Luma   ](https://www.dotmatics.com/luma-data-management-platform) [![Prism logo](https://flow-cytometry.net/wp-content/uploads/2024/07/Prism-Logo-White-2.png) Statistical analysis and graphing software for scientists ](https://www.graphpad.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Geneious logo](https://flow-cytometry.net/wp-content/uploads/2024/07/Geneious-Logo-White-2.png) Bioinformatics, cloning, and antibody discovery software ](https://www.geneious.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![SnapGene logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-SnapGene.svg) Plan, visualize, & document core molecular biology procedures ](https://www.snapgene.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Protein Metrics logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-Protein-Metrics.svg) Proteomics software for analysis of mass spec data ](https://proteinmetrics.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![LabArchives logo](https://flow-cytometry.net/wp-content/uploads/2024/07/LabArchives-Logo-White-2.png) Electronic Lab Notebook to organize, search and share data ](https://www.labarchives.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![OMIQ logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-OMIQ.svg) Modern cytometry analysis platform ](https://www.omiq.ai/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![FCS Express logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-FCS-Express.svg) Analysis, statistics, graphing and reporting of flow cytometry data ](https://denovosoftware.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Easy Panel logo](https://flow-cytometry.net/wp-content/uploads/2024/07/EasyPanel-Logo-White-2.png) Intelligent panel design & inventory management for flow cytometry ](https://flow-cytometry.net/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![nQuery logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-nQuery.svg) Software to optimize designs of clinical trials ](https://www.statsols.com/) [![M-Star logo](https://flow-cytometry.net/wp-content/uploads/2024/07/M-Star-Logo-White-2.png) Computational fluid dynamics (CFD) software for engineers and researchers ](https://www.mstarcfd.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![SoftGenetics logo](https://flow-cytometry.net/wp-content/uploads/2024/07/SoftGenetics-Logo-White-2.png) Genetic analysis software for research, forensics & healthcare applications ](https://softgenetics.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [Explore the Scientific Software   ](https://www.dotmatics.com/portfolio) [![nQuery Logo](https://www.statsols.com/hubfs/nQuery%20Logo.svg "nQuery Logo")](https://www.statsols.com/) [![Pricing](https://no-cache.hubspot.com/cta/default/488764/23ddd076-07af-4f0a-9388-5a58a5369002.png)](https://cta-redirect.hubspot.com/cta/redirect/488764/23ddd076-07af-4f0a-9388-5a58a5369002) [![Free Trial](https://no-cache.hubspot.com/cta/default/488764/93ddde0f-93b2-4893-a3db-0523d2334739.png)](https://cta-redirect.hubspot.com/cta/redirect/488764/93ddde0f-93b2-4893-a3db-0523d2334739) # Sample Size Determination Example ## AREA: Means | Respiratory ![nQuery In Use Background Web Opacity 35](https://www.statsols.com/hs-fs/hubfs/Master_Images/___HeroBannerImages/nQuery%20In%20Use%20Background%20Web%20%20Opacity%2035.png?width=1920&name=nQuery%20In%20Use%20Background%20Web%20%20Opacity%2035.png "nQuery In Use Background Web Opacity 35") #### BMS Lung Disease Research #### Title: Cyclophosphamide versus Placebo in Scleroderma Lung Disease **Objective: **We assessed the efficacy and safety of brodalumab, a human monoclonal antibody against interleukin-17 receptor A (IL17RA), in a phase 2, randomized, double-blind, placebo-controlled study involving patients with psoriatic arthritis. Year: 2006 **Source:**  New England Journal of Medicine **Link: **[https://www.nejm.org/doi/full/10.1056/NEJMoa1315231](https://www.nejm.org/doi/full/10.1056/NEJMoa1315231) **Clinical Area: **Respiratory | **Sample Size Section in Paper/Protocol:** | | --- | | ''We estimated that we would need to enroll 163 patients, given an expected mean (±SD) annual decline in the FVC of 9±16 percent of the predicted value and a dropout rate of 15 percent, to achieve a two-sided alpha level of 0.05 and a statistical power of 90 percent.” | ** Summary of Necessary Parameter Estimates for Sample Size Calculation:** | ** Parameter** | **Value** | | --- | --- | |  Significance Level (2-Sided) | 0.05 | |  Difference in Means | 9 | |  Common Standard Deviation | 16 | |  Sample Size/ Group (adjusted for dropout) | 69 | |  Dropout | 15% | #### **Email me this example in PDF format** **Note:** Final analysis was conducted using ANCOVA model using baseline as a covariate. This study or resultant future studies could use effect of baseline covariate to adjust sample size downwards due to between-subjects variance decrease. In the case of ANCOVA analysis, the only additional information necessary would be an estimate of R2 between the response and the baseline covariate (or average R2 if other covariates were used). For example, using the ANCOVA sample size table available in nQuery + nTerim 3.0 for the above study and assuming a 10% R2 between baseline and the response would have yielded an adjusted sample size of 61 per group after dropout. **Step 1: ** Select the **Two Sample Student’s t-test (equal variances)** from the Study Design Pane. ![Sample Size Calculator Example- nQuery- Example 11- Img 01- Two Sample Student’s t-test (equal variances)](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2001-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png?width=568&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2001-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png) **Step 2: **Enter the parameter values for power calculation taken from the study design. ![Sample Size Calculator Example- nQuery- Example 11- Img 02- Two Sample Student’s t-test (equal variances)](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2002-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png?width=462&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2002-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png) **Step 3: **Once sample size is entered, power is calculated automatically. | This gives a power of 90% as per the study design. | | --- |   **![Sample Size Calculator Example- nQuery- Example 11- Img 03- Two Sample Student’s t-test (equal variances)](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2003-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png?width=432&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2003-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png)** **Step 4: **Once the calculation is completed, nQuery Advanced provides an output statement summarizing the results. It States: | **Output Statement:** | | --- | | *A sample size of 68 in each group will have 90% power to detect a difference in means of 9 assuming that the common standard deviation is 16 using a two group t-test with a 5% two-sided significance level.* |   ![Sample Size Calculator Example- nQuery- Example 11- Img 04- Two Sample Student’s t-test (equal variances)](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2004-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png?width=697&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2011-%20Img%2004-%20Two%20Sample%20Student%E2%80%99s%20t-test%20(equal%20variances).png) #### **Email me this example in PDF format** ### Free 14 Day Trial ![Demo Icon white](https://www.statsols.com/hs-fs/hubfs/Demo%20Icon%20white.png?width=330&name=Demo%20Icon%20white.png) **No download required**   [Try Now](https://www.statsols.com/nquery-demo) ##### **LOCATION** GraphPad Software DBA Statistical Solutions, 225 Franklin St FL 26 Boston, MA, 02110-2853, United States Copyright © Statsols. 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